Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667

Table of figures

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            <pb xlink:href="040/01/1034.jpg" pagenum="339"/>
            <p type="margin">
              <s>
                <margin.target id="marg1132"/>
              * I add the word
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              ſetled, as neceſſary
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              in making the Ex­
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              periment.</s>
            </p>
            <p type="main">
              <s>NIC. </s>
              <s>In this
                <emph type="italics"/>
              Propoſition
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              it is affirmed that thoſe Solid Magnitules that hap­
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              pen to be equal in ſpecifical Gravity with the Liquid being lefeat liber­
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              ty in the ſaid Liquid do ſo ſubmerge in the ſame, as that they lie or ap­
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              pear not at all above the Surface of the Liquid, nor yet do they go or ſink to the
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              Bottom.</s>
            </p>
            <p type="main">
              <s>For ſuppoſing, on the contrary, that it were poſſible for one of
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              thoſe Solids being placed in the Liquid to lie in part without the
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              Liquid, that is above its Surface, (alwaies provided that the ſaid
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              Liquid be ſetled and undiſturbed,) let us imagine any Plane pro­
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              duced thorow the Center of the Earth, thorow the Liquid, and
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              thorow that Solid Body: and let us imagine that the Section of the
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              Liquid is the Superficies A B G D, and the Section of the Solid
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              Body that is within it the Superſicies E Z H T, and let us ſuppoſe
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              the Center of the Earth to be the Point K: and let the part of the
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              ſaid Solid ſubmerged in the Liquid be B G H T, and let that above
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              be B E Z G: and let the Solid Body be ſuppoſed to be comprized in
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              a Pyramid that hath its Parallelogram Baſe in the upper Surface of
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              the Liquid, and its Summity or Vertex in the Center of the Earth:
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              which Pyramid let us alſo ſuppoſe to be cut or divided by the ſame
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              Plane in which is the Circumference A B G D, and let the Sections
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                <figure id="id.040.01.1034.1.jpg" xlink:href="040/01/1034/1.jpg" number="230"/>
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              of the Planes of the ſaid
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              Pyramid be K L and
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              K M: and in the Liquid
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              about the Center K let
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              there be deſcribed a Su­
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              perficies of another
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              Sphære below E Z H T,
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              which let be X O P;
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              and let this be cut by
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              the Superficies of the Plane: And let there be another Pyramid ta­
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              ken or ſuppoſed equal and like to that which compriſeth the ſaid
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              Solid Body, and contiguous and conjunct with the ſame; and let
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              the Sections of its Superficies be K M and K N: and let us ſuppoſe
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              another Solid to be taken or imagined, of Liquor, contained in that
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              ſame Pyramid, which let be R S C Y, equal and like to the partial
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              Solid B H G T, which is immerged in the ſaid Liquid: But the
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              part of the Liquid which in the firſt Pyramid is under the Super­
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              ficies X O, and that, which in the other Pyramid is under the Su­
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              perficies O P, are equijacent or equipoſited and contiguous, but
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              are not preſſed equally; for that which is under the Superficies
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              X O is preſſed by the Solid T H E Z, and by the Liquor that is
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              contained between the two Spherical Superficies X O and L M
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              and the Planes of the Pyramid, but that which proceeds accord­
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              ing to F O is preſſed by the Solid R S C Y, and by the Liquid </s>
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          </chap>
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